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Raphael
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Post Merged (destination) from cs.stackexchange.com/questions/10911/…
adds proposition for sake of the merged question.
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Raphael
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Let $$L_\emptyset = \{\langle M\rangle \mid M \text{ is a Turing Machine and }L(M)=\emptyset\}.$$
Is there a Turing machine R that Decidesdecides (I don't mean Recognizesrecognizes) the language $L_\emptyset$?

It seems that the same technique used to show that $\{A \mid A \text{ is a DFA and } L(A)=\emptyset\}$ should work here as well.

Let $$L_\emptyset = \{\langle M\rangle \mid M \text{ is a Turing Machine and }L(M)=\emptyset\}.$$
Is there a Turing machine R that Decides(I don't mean Recognizes) the language $L_\emptyset$?

Let $$L_\emptyset = \{\langle M\rangle \mid M \text{ is a Turing Machine and }L(M)=\emptyset\}.$$
Is there a Turing machine R that decides (I don't mean recognizes) the language $L_\emptyset$?

It seems that the same technique used to show that $\{A \mid A \text{ is a DFA and } L(A)=\emptyset\}$ should work here as well.

Tweeted twitter.com/#!/StackCompSci/status/317998334679859200
added 23 characters in body; edited tags; edited title
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Ran G.
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Can a Turing machine decide the language $L_\emptyset$ of machines with empty language?

Let $A = \{\langle M\rangle | M $ is a Turing Machine and $L(M)=\emptyset\}$ .$$L_\emptyset = \{\langle M\rangle \mid M \text{ is a Turing Machine and }L(M)=\emptyset\}.$$
We want to writeIs there a Turing machine R that Decides(I don't mean Recognizes) the language A.$L_\emptyset$?

Can a Turing machine decide the empty language?

Let $A = \{\langle M\rangle | M $ is a Turing Machine and $L(M)=\emptyset\}$ .
We want to write a Turing machine R that Decides(I don't mean Recognizes) the language A.

Can a Turing machine decide the language $L_\emptyset$ of machines with empty language?

Let $$L_\emptyset = \{\langle M\rangle \mid M \text{ is a Turing Machine and }L(M)=\emptyset\}.$$
Is there a Turing machine R that Decides(I don't mean Recognizes) the language $L_\emptyset$?

added 9 characters in body
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Shaull
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Mahdi
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edited body; edited title
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Juho
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Mahdi
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